At the moment, nobody wants to use the Tyrant’s unique special module, and for good cause. It is really only useful in PvE, and even then, all the other modules are still for the most part better. It is only useful after taking damage (15,000) to the shields, and even after that it will only restore 3,000 of that and deal negligible damage.
I suggest that it have other effects as well. As it is used, it should deal the damage that it does now, but also teleport the target ship away from the Tyrant by a set amount. It should also heal a more substantial amount than 3,000. Something like 8-10k would be more reasonable.